10,640
10,640 is a composite number, even.
10,640 (ten thousand six hundred forty) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 19. Its proper divisors sum to 19,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2990.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,601
- Recamán's sequence
- a(50,239) = 10,640
- Square (n²)
- 113,209,600
- Cube (n³)
- 1,204,550,144,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 29,760
- φ(n) — Euler's totient
- 3,456
- Sum of prime factors
- 39
Primality
Prime factorization: 2 4 × 5 × 7 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,640 = [103; (6, 1, 1, 1, 6, 206)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand six hundred forty
- Ordinal
- 10640th
- Binary
- 10100110010000
- Octal
- 24620
- Hexadecimal
- 0x2990
- Base64
- KZA=
- One's complement
- 54,895 (16-bit)
- Scientific notation
- 1.064 × 10⁴
- As a duration
- 10,640 s = 2 hours, 57 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιχμʹ
- Mayan (base 20)
- 𝋡·𝋦·𝋬·𝋠
- Chinese
- 一萬零六百四十
- Chinese (financial)
- 壹萬零陸佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,640 = 0
- e — Euler's number (e)
- Digit 10,640 = 1
- φ — Golden ratio (φ)
- Digit 10,640 = 9
- √2 — Pythagoras's (√2)
- Digit 10,640 = 4
- ln 2 — Natural log of 2
- Digit 10,640 = 6
- γ — Euler-Mascheroni (γ)
- Digit 10,640 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10640, here are decompositions:
- 13 + 10627 = 10640
- 43 + 10597 = 10640
- 73 + 10567 = 10640
- 109 + 10531 = 10640
- 127 + 10513 = 10640
- 139 + 10501 = 10640
- 163 + 10477 = 10640
- 181 + 10459 = 10640
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 A6 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.144.
- Address
- 0.0.41.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.41.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,640 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +15¢)
- Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, -47¢ — about midway to E9)
- Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +16¢)
The digit sequence 10640 first appears in π at position 70,321 of the decimal expansion (the 70,321ordinal-suffix:st digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.